Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 149, Issue -, Pages 156-164Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2016.10.022
Keywords
Global diffeomorphism; Internal waves; Geophysical water waves; Exact and explicit solution
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Funding
- Science Foundation Ireland (SFI) [13/CDA/2117]
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The aim of this paper is to prove that the Lagrangian flow describing Equatorially-trapped water waves presented by Constantin (2014) is dynamically possible. This is achieved by proving that the three-dimensional mapping which describes the nonlinear exact solution to the geophysical governing equations is a global diffeomorphism. (C) 2016 Elsevier Ltd. All rights reserved.
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